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Simplifying 0 = (5a + 7b) + -1(3a + 5b) Remove parenthesis around (5a + 7b) 0 = 5a + 7b + -1(3a + 5b) 0 = 5a + 7b + (3a * -1 + 5b * -1) 0 = 5a + 7b + (-3a + -5b) Reorder the terms: 0 = 5a + -3a + 7b + -5b Combine like terms: 5a + -3a = 2a 0 = 2a + 7b + -5b Combine like terms: 7b + -5b = 2b 0 = 2a + 2b Solving 0 = 2a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 0 + -2a = 2a + -2a + 2b Remove the zero: -2a = 2a + -2a + 2b Combine like terms: 2a + -2a = 0 -2a = 0 + 2b -2a = 2b Divide each side by '-2'. a = -1b Simplifying a = -1b
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